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Exact(1)
where denotes the first column of unitary matrix.
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Rather than studying the resulting low-rank matrix X' = UΣ'VT (by zeroing all singular values at locations i>r, one can compress the data into an r-dimensional space), we focus our attention on the r first columns of the unitary matrices U and V.
where (mathbb {W}) is the unitary DFT matrix and (mathbb {D}) is a diagonal matrix whose nonzero elements are the DFT of the first column of (mathbb {G}).
For, let be the first columns of.
See the second column of Table 5.
(see the fifth column of Table 1).
First column: distribution of preferred positions.
The sixth and seventh columns of this table are the same as the third and fourth columns of Table 1.
The first column discussed many of the basics, and the second column answered reader questions.
First column: sample frames of two videos.
where and are two circulant matrices with and as their first columns, respectively; is the unitary discrete Fourier transform matrix with ; is an additive white Gaussian noise (AWGN) vector with zero mean and covariance matrix.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com